# A set of data has a mean of 127 and a standard deviation of 15. What is the z-score of x = 118?

Answer: The z-score is a measure of how statistically related a value is from the mean. It is a tool to standardize scores from different sets of data which is why it is also known as "Standard Score". It can be calculated using the formula:

z-score =  (any value in the data - mean) ÷ standard deviation

Given:

any value in the data = 118
standard deviation = 15
mean = 127

Solution:

z-score = (118 - 127) ÷ 15

z-score = -0.6

## Related Questions

How do you round 38,288 to the nearest 100

Consider the number 38,288

Now, we have to round this number to the nearest hundreds place.

The place value to the extreme right of the number is ones, then tens, hundreds, thousands, ten thousands and so on.

So, the digit at hundreds place = 2

Consider the digit to the right of the hundred place which is '8', which is greater than 5.

Therefore, we will add '1' to the digit at hundreds place.

Therefore, the number 38,288 rounded to nearest hundreds is 38,300.

Two angles are complementary. They have measures of (7x + 2)° and (3x – 2)°, respectively. What is the value of x?   10 180 9 90

Two angles are complementary angles if they have a sum of 90 degrees. We could write the expression as below.
angle 1 + angle 2 = 90
7x + 2 + 3x - 2 = 90

solve for x by adding like terms
7x + 3x + 2 - 2 = 90
10x = 90
x = 90/10
x = 9

The value of x is 9

9

Step-by-step explanation:

25% of 176 is what number?

The answer is 44 divide 176/100 then multiply by 25%

The powerful survival impulse that leads infants to seek closeness to their caregivers is called:A)attachment.B)imprinting.C)habituation.D)assimilation.E)the rooting reflex

A. Attachment

Step-by-step explanation:

The powerful survival impulse that leads infants to seek closeness to their caregivers is called Attachment. The infant can count on the caregiver possibly parent(s) for care which gives the infant a solid foundation for dependence and survival.

Which is the inverse of the function f(x)=4x-9

= .

Step-by-step explanation:

Given : f(x)=4x-9.

To find : Which is the inverse of the function.

Solution : We have given f(x)=4x-9.

Step 1 : replace y to x

x = 4y -9.

Step 2: solve for y

On adding by 9 both side

x + 9 = 4y

On dividing by 4 both sides

y = .

y = .

Then = .

Therefore, = .

To find the inverse of a function, switch the x and the y (the f(x) = y), then solve for y.

x = 4y - 9

x + 9 = 4y

y = (x+9)/4

So f^-1(x) = (x+9)/4

The scale factor for Maria’s dollhouse furniture is 1:8. If the sofa in Maria’s dollhouse is 7 1/2 inches long, how long is the actual sofa?

The actual sofa is 60 inches or 5 feet long.

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Scale factor for Maria's doll house furniture = 1:8

Size of the sofa in Maria's doll house = 7 1/2 inches

2. Let's find the size of the real sofa

Size of the real sofa = 7 1/2 * 8

Size of the real sofa = 60 inches long.

Size of the real sofa = 60/12 feet (1 feet = 12 inches)

Size of the real sofa = 5 feet long.

60 inches

Step-by-step explanation:

How offen is simple interest used in the business and banking worlds?

Very often.

Step-by-step explanation:

What fraction is less than one third with one as a numerator?